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Finding the Third Proportional to 1,489,308,368 and 2,399,672,514

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Solution

The third proportional to 1,489,308,368 and 2,399,672,514 is: 3,866,511,662.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489,308,368 : 2,399,672,514 = 2,399,672,514 : x
  2. Step 2: Convert to fraction form
    1,489,308,368/2,399,672,514 = 2,399,672,514/x
  3. Step 3: Cross multiply
    1,489,308,368x = 2,399,672,514 × 2,399,672,514
  4. Step 4: Simplify right side
    1,489,308,368x = 5,758,428,174,447,080,448
  5. Step 5: Solve for x
    x = 5,758,428,174,447,080,448/1,489,308,368
  6. Step 6: Final answer
    x = 3,866,511,662.85

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.